101100110010101 has 8 divisors (see below), whose sum is σ = 103233109041624. Its totient is φ = 98987328979200.

The previous prime is 101100110010071. The next prime is 101100110010113. The reversal of 101100110010101 is 101010011001101.

It can be written as a sum of positive squares in 4 ways, for example, as 56747520279025 + 44352589731076 = 7533095^2 + 6659774^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101100110010101 - 2³⁰ = 101099036268277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100110010401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5054490050 + ... + 5054510051.

It is an arithmetic number, because the mean of its divisors is an integer number (12904138630203).

Almost surely, 2^{101100110010101} is an apocalyptic number.

It is an amenable number.

101100110010101 is a deficient number, since it is larger than the sum of its proper divisors (2132999031523).

101100110010101 is a wasteful number, since it uses less digits than its factorization.

101100110010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10109000311.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101100110010101 its reverse (101010011001101), we get a palindrome (202110121011202).

The spelling of 101100110010101 in words is "one hundred one trillion, one hundred billion, one hundred ten million, ten thousand, one hundred one".